\(L^p\)-multipliers sensitive to the group structure on nilpotent Lie groups

DOI10.1007/s00041-018-9640-4zbMath1423.42017OpenAlexW2895928561MaRDI QIDQ2003605

Paweł Głowacki

Publication date: 9 July 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-018-9640-4

zbMATH Keywords

Fourier transformsingular integralsLittlewood-Paley theoryflag kernelssymbolic calculushomogeneous groups\(L^p\)-multipliersHörmander metrics

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• Singular integrals with flag kernels on homogeneous groups, I
• Parametrix constructions for right invariant differential operators on nilpotent groups
• The Melin calculus for general homogeneous groups
• Maximal and singular integral operators via Fourier transform estimates
• The Strong Maximal Function on a Nilpotent Group
• Schwartz spaces associated with some non-differential convolution operators on homogeneous groups
• The weyl calculus of pseudo-differential operators
• A note on Schrödinger operators with polynomial potentials
• Lp-boundedness of flag kernels on homogeneous groups
• Formule de Weyl pour les groupes de Lie nilpotents.
• Singular integrals with flag kernels and analysis on quadratic CR manifolds

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